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One way of avoiding the complex action problem in lattice QCD at non-zero density is to simulate QCD-like theories with a real action, such as two-colour QCD. The symmetries of two-colour QCD with quarks in the fundamental and in the…

高能物理 - 格点 · 物理学 2007-05-23 Jonivar Skullerud

Using the Dirac-mode expansion method, which keeps the gauge invariance, we analyze the Polyakov loop in terms of the Dirac modes in SU(3) quenched lattice QCD in both confined and deconfined phases. First, to investigate the direct…

高能物理 - 格点 · 物理学 2014-03-24 Takumi Iritani , Hideo Suganuma

We propose a general method to obtain accurate estimates for some of the "low-energy constants" in the one-loop effective chiral Lagrangian by means of simulating lattice QCD. In particular, the method is sensitive to those constants whose…

高能物理 - 格点 · 物理学 2011-02-01 Jochen Heitger , Rainer Sommer , Hartmut Wittig

We compute the condensate in QCD with a single quark flavor using numerical simulations with the overlap formulation of lattice fermions. The condensate is extracted by fitting the distribution of low lying eigenvalues of the Dirac operator…

高能物理 - 理论 · 物理学 2009-11-11 Thomas DeGrand , Roland Hoffmann , Stefan Schaefer , Zhaofeng Liu

In the epsilon-regime of QCD the main features of the spectrum of the low-lying eigenvalues of the (euclidean) Dirac operator are expected to be described by a certain universality class of random matrix models. In particular, the latter…

高能物理 - 格点 · 物理学 2009-11-10 Leonardo Giusti , Martin Lüscher , Peter Weisz , Hartmut Wittig

We explore the properties of low lying eigenmodes of fermions in the quenched approximation of lattice QCD. The fermion action is a recently proposed overlap action and has exact chiral symmetry. We find that chiral zero-eigenvalue modes…

高能物理 - 格点 · 物理学 2009-10-31 Thomas DeGrand , Anna Hasenfratz

We report on the simulation of QCD with light dynamical quarks using the two-step multi-boson (TSMB) algorithm. In an exploratory study with two flavours of quarks at lattice spacing about 0.27 fm and with quark mass down to one sixth of…

高能物理 - 格点 · 物理学 2015-06-25 F. Farchioni , C. Gebert , I. Montvay , L. Scorzato

We apply a complex chiral random matrix model as an effective model to QCD with a small chemical potential at zero temperature. In our model the correlation functions of complex eigenvalues can be determined analytically in two different…

高能物理 - 格点 · 物理学 2017-08-23 G. Akemann , T. Wettig

Computing disconnected diagrams in Lattice QCD (operator insertion in a quark loop) entails the computationally demanding problem of taking the trace of the all to all quark propagator. We first outline the basic algorithm used to compute a…

高能物理 - 格点 · 物理学 2016-11-09 Arjun Singh Gambhir , Andreas Stathopoulos , Kostas Orginos , Boram Yoon , Rajan Gupta , Sergey Syritsyn

The effective quark Lagrangian is derived from the QCD action by means of averaging over the vacuum fields. In the limit of large N_c and keeping for simplicity the lowest order gluonic correlator one obtains nonlinear equations for the…

高能物理 - 唯象学 · 物理学 2009-10-30 Yu. A. Simonov

In this lecture we review recent lattice QCD studies of the statistical properties of the eigenvalues of the QCD Dirac operator. We find that the fluctuations of the smallest Dirac eigenvalues are described by chiral Random Matrix Theories…

高能物理 - 格点 · 物理学 2009-10-31 J. J. M. Verbaarschot

We study the problems of deconfinement, chiral symmetry restoration and localisation of the low Dirac eigenmodes in a toy model of QCD, namely unimproved staggered fermions on lattices of temporal extension $N_T=4$. This model displays a…

高能物理 - 格点 · 物理学 2017-03-08 Matteo Giordano , Sandor D. Katz , Tamas G. Kovacs , Ferenc Pittler

We study lattice QCD with two flavors of dynamical domain wall quarks. With renormalization group motivated actions, we find chiral symmetry can be preserved to a high degree at lattice cut off of a^{-1} \sim 2 GeV even for fifth dimension…

高能物理 - 格点 · 物理学 2015-06-25 Taku Izubuchi , RBC Collaboration

In the past year domain wall fermion simulations have moved from exploratory stages to the point where systematic effects can be studied with different gauge couplings, volumes, and lengths in the fifth dimension. Results are presented here…

高能物理 - 格点 · 物理学 2009-10-31 Matthew Wingate

A brief overview of the lattice technique of studying QCD is presented. Recent results from the UKQCD Collaboration's simulations with dynamical quarks are then presented. In this work, the calculations are all at a fixed lattice spacing…

高能物理 - 唯象学 · 物理学 2009-11-07 Chris Allton

In this talk, I first motivate the use of Chiral Perturbation Theory in the context of Lattice QCD. In particular, I explain how partially quenched QCD, which has, in general, unequal valence- and sea-quark masses, can be used to obtain…

高能物理 - 唯象学 · 物理学 2017-08-23 Maarten Golterman

It was recently conjectured that, in SU(3) gauge theories with fundamental quarks, valence spontaneous chiral symmetry breaking is equivalent to condensation of local dynamical chirality and appearance of chiral polarization scale…

高能物理 - 格点 · 物理学 2015-06-19 Andrei Alexandru , Ivan Horváth

Several lattice collaborations performing simulations with 2+1 light dynamical quarks have experienced difficulties in fitting their data with standard Nf=3 chiral expansions at next-to-leading order, yielding low values of the quark…

高能物理 - 唯象学 · 物理学 2011-03-03 V. Bernard , S. Descotes-Genon , G. Toucas

We study the scaling behavior of the quark propagator on two lattices with similar physical volume in Landau gauge with 2+1 flavors of dynamical quarks in order to test whether we are close to the continuum limit for these lattices. We use…

We propose a novel approach to the Graphene system using a local field theory of 4 dimensional QED model coupled to 2+1 dimensional Dirac fermions, whose velocity is much smaller than the speed of light. Performing hybrid Monte Carlo…

高能物理 - 格点 · 物理学 2012-06-11 E. Shintani , T. Onogi